Nate Harman

activity

20092025

most citedDeligne categories as limits in rank and characteristic

17 citations · 48 across the 24 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.RT2022

The Delannoy category

Nate Harman, Andrew Snowden, Noah Snyder

Let $G$ be the group of all order-preserving self-maps of the real line. In previous work, the first two authors constructed a pre-Tannakian category $Rep (G)$ …

math.RT2022

A Tensor-Cube Version of the Saxl Conjecture

Nate Harman, Christopher Ryba

Let $n$ be a positive integer, and let $ρ_{n} = (n, n - 1, n - 2, \dots, 1)$ be the ``staircase'' partition of size $N = (2 n + 1)$ . The Saxl conjecture asserts that every irreduc…

math.LO2022

Ultrahomogeneous tensor spaces

Nate Harman, Andrew Snowden

A cubic space is a vector space equipped with a symmetric trilinear form. Using categorical Fraïssé theory, we show that there is a universal ultrahomogeneous cubic space $V$ of co…

math.RT2022★ 1 cited

Oligomorphic groups and tensor categories

Nate Harman, Andrew Snowden

Given an oligomorphic group $G$ and a measure $μ$ for $G$ (in a sense that we introduce), we define a rigid tensor category $Perm (G; μ)$ of "permutation module…